Metrics for Linear.V3:$cdot from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
100%	99.7%	0%	0.3%	0%	0%	0%	1

Compiler

Compiled 13 to 13 computations (0% saved)

sample1.2s (27%)

Memory

-27.4MiB live, 1 148.6MiB allocated

Samples

898.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-mult: 264.0ms (68.1% of total)

ival-add: 114.0ms (29.4% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain144.0ms (3.1%)

Memory

-30.7MiB live, 173.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
1	-	-	`(+.f64 (.f64 x y) (.f64 z t))`
0	-	-	`a`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`b`
0	-	-	`(*.f64 a b)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`	nan-rescue	3	0
↳	`(*.f64 x y)`	overflow	24
↳	`(+.f64 (.f64 x y) (.f64 z t))`	overflow	55
↳	`(*.f64 z t)`	overflow	33
↳	`(*.f64 a b)`	overflow	28
`+.f64`	`(+.f64 (.f64 x y) (.f64 z t))`	nan-rescue	1	0
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z t)`	overflow	33

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 81 to 37 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 15.0ms (74.4% of total)

ival-add: 4.0ms (19.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess102.0ms (2.2%)

Memory

25.0MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	315
1	222	301
2	379	297
3	792	297
4	1555	297
5	2497	297
6	3005	297
7	3053	297
8	3055	297
9	3055	297
10	3055	297
11	3055	297
0	11	11
0	16	11
1	23	11
2	30	11
3	32	11
0	32	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z t)
cost-diff	0	(*.f64 x y)
cost-diff	1	(+.f64 (.f64 x y) (.f64 z t))
cost-diff	1	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	16	33
1	23	33
2	30	33
3	32	33
0	32	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
(*.f64 a b)
a
b

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(+.f64 (.f64 x y) (.f64 z t))
(fma.f64 t z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z t)
(*.f64 t z)
z
t
(*.f64 a b)
(*.f64 b a)
a
b

localize31.0ms (0.7%)

Memory

-27.4MiB live, 53.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 a b)
accuracy	0.21093750000000003	(+.f64 (.f64 x y) (.f64 z t))
accuracy	0.6484354358302059	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Samples

19.0ms

256×

valid

Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (67% of total)

ival-add: 2.0ms (26.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

5 → 27

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)
(*.f64 a b)

Outputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* t z)
(+ (* t z) (* x y))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* x (+ y (/ (* t z) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* y (+ x (/ (* t z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(+ (* a b) (* x y))
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* z (+ t (/ (* x y) z)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* t (+ z (/ (* x y) t)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* a b)
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	x	@	0	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	x	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	y	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	y	@	0	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))

simplify185.0ms (4%)

Memory

8.5MiB live, 234.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	249
1	389	245
2	1302	237
3	3174	237
4	7235	237
0	8046	200

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

Inputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* t z)
(+ (* t z) (* x y))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* x (+ y (/ (* t z) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* y (+ x (/ (* t z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(+ (* a b) (* x y))
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* z (+ t (/ (* x y) z)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* t (+ z (/ (* x y) t)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* a b)
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))

Outputs
(+ (* a b) (* t z))
(fma.f64 b a (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* t z)
(*.f64 t z)
(+ (* t z) (* x y))
(fma.f64 t z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(fma.f64 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (*.f64 y x))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(fma.f64 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (*.f64 y x))
(+ (* a b) (* x y))
(fma.f64 b a (*.f64 y x))
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (*.f64 y x))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(fma.f64 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (*.f64 y x))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (*.f64 y x))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(fma.f64 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (*.f64 y x))
(* a b)
(*.f64 b a)
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))

rewrite282.0ms (6.1%)

Memory

-20.5MiB live, 227.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	16	27
1	48	27
2	402	27
3	6100	27
0	8135	24

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 186

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)
(*.f64 a b)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (fma.f64 (.f64 b a) (fma.f64 b a (fma.f64 t z (.f64 y x))) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (*.f64 b a))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a)) #s(literal 3 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a)) (-.f64 (.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64)))) (fma.f64 b a (fma.f64 t z (.f64 y x))))
(.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 b a) (fma.f64 t z (*.f64 y x))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 b a (.f64 t z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y x) (fma.f64 b a (*.f64 t z))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) a (fma.f64 t z (.f64 y x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 b a (fma.f64 t z (.f64 y x))))
(.f64 (+.f64 (pow.f64 (fma.f64 b a (.f64 t z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 b a (.f64 t z)) (-.f64 (fma.f64 b a (.f64 t z)) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 b) a (fma.f64 t z (.f64 y x)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 b) a (fma.f64 t z (.f64 y x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (/.f64 (fma.f64 b a (fma.f64 t z (.f64 y x))) (fma.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (.f64 (fma.f64 b a (fma.f64 t z (.f64 y x))) (pow.f64 (fma.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (.f64 b a) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 b a (fma.f64 t z (.f64 y x))) (/.f64 (fma.f64 (neg.f64 b) a (fma.f64 t z (.f64 y x))) (fma.f64 (neg.f64 b) a (fma.f64 t z (.f64 y x)))))
(.f64 (fma.f64 b a (fma.f64 t z (.f64 y x))) (.f64 (fma.f64 (neg.f64 b) a (fma.f64 t z (.f64 y x))) (pow.f64 (fma.f64 (neg.f64 b) a (fma.f64 t z (*.f64 y x))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (.f64 b a) (fma.f64 t z (.f64 y x))) (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y x) (fma.f64 b a (.f64 t z))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 b a (.f64 t z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 b a (fma.f64 t z (*.f64 y x))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 b a (.f64 t z)) (-.f64 (fma.f64 b a (.f64 t z)) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 b a (.f64 t z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 b a (fma.f64 t z (*.f64 y x))) #s(literal -1 binary64)) #s(literal -1 binary64))
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(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (*.f64 y x)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (*.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (*.f64 y x)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 t) z (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (.f64 y x)))))
(fma.f64 t z (*.f64 y x))
(fma.f64 z t (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (*.f64 y x)))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (*.f64 y x)))))
(fma.f64 y x (*.f64 t z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (*.f64 y x)))))
(fma.f64 x y (*.f64 t z))
(-.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 t z) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 t z) (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (.f64 y x))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 t z (.f64 y x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 t z (.f64 y x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) z (.f64 y x)))))
(+.f64 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(*.f64 x y)
(*.f64 t z)
(*.f64 z t)
(*.f64 b a)
(*.f64 a b)

eval21.0ms (0.4%)

Memory: 21.4MiB live, 21.4MiB allocated
Compiler: Compiled 6 287 to 577 computations (90.8% saved)

prune15.0ms (0.3%)

Memory

-27.2MiB live, 9.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	2	196

Accuracy

100.0%

Counts

196 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
▶	67.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 b a (*.f64 y x))
cost-diff	0	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
cost-diff	0	(*.f64 t z)
cost-diff	0	(fma.f64 b a (*.f64 t z))
cost-diff	0	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	22	60
1	37	60
2	40	60
0	40	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
b
a
(*.f64 t z)
t
z
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
b
a
(*.f64 y x)
y
x

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
b
a
(*.f64 t z)
t
z
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
b
a
(*.f64 y x)
y
x

localize76.0ms (1.6%)

Memory

6.2MiB live, 41.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 b a (*.f64 y x))
accuracy	25.56526364261262	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
accuracy	0.0	(fma.f64 b a (*.f64 t z))
accuracy	0.0	(*.f64 t z)
accuracy	20.623638393943473	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Samples

66.0ms

256×

valid

Compiler

Compiled 52 to 18 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (61.5% of total)

ival-add: 5.0ms (34.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

6 → 35

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
(*.f64 t z)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
(*.f64 y x)

Outputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* a b)
(+ (* a b) (* x y))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* x (+ y (/ (* a b) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* y (+ x (/ (* a b) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(* t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* z (+ t (/ (* a b) z)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* a b) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* t (+ z (/ (* a b) t)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* a b) t)))))
(+ (* t z) (* x y))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* a (+ b (/ (* t z) a)))
(* a (+ b (/ (* x y) a)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* t z) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* b (+ a (/ (* t z) b)))
(* b (+ a (/ (* x y) b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* t z) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x))
1.0ms	x	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x))
1.0ms	y	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x))
1.0ms	z	@	inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x))
1.0ms	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x))

simplify169.0ms (3.7%)

Memory

-19.6MiB live, 143.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	315
1	488	309
2	1666	297
3	4200	297
0	8037	252

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* a b)
(+ (* a b) (* x y))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* x (+ y (/ (* a b) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* y (+ x (/ (* a b) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(* t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* z (+ t (/ (* a b) z)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* a b) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* t (+ z (/ (* a b) t)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* a b) t)))))
(+ (* t z) (* x y))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* a (+ b (/ (* t z) a)))
(* a (+ b (/ (* x y) a)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* t z) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* b (+ a (/ (* t z) b)))
(* b (+ a (/ (* x y) b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* t z) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))

Outputs
(+ (* a b) (* t z))
(fma.f64 b a (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* a b)
(*.f64 b a)
(+ (* a b) (* x y))
(fma.f64 b a (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* x (+ y (/ (* a b) x)))
(fma.f64 b a (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(fma.f64 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(fma.f64 b a (*.f64 y x))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* y (+ x (/ (* a b) y)))
(fma.f64 b a (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(fma.f64 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(fma.f64 b a (*.f64 y x))
(* t z)
(*.f64 t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* z (+ t (/ (* a b) z)))
(fma.f64 b a (*.f64 t z))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(fma.f64 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* a b) z)))))
(fma.f64 b a (*.f64 t z))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* t (+ z (/ (* a b) t)))
(fma.f64 b a (*.f64 t z))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(fma.f64 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* a b) t)))))
(fma.f64 b a (*.f64 t z))
(+ (* t z) (* x y))
(fma.f64 t z (*.f64 y x))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* a (+ b (/ (* t z) a)))
(fma.f64 b a (*.f64 t z))
(* a (+ b (/ (* x y) a)))
(fma.f64 b a (*.f64 y x))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 (fma.f64 t z (.f64 y x)) #s(literal 1 binary64) (.f64 b a))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* t z) a)))))
(fma.f64 b a (*.f64 t z))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(fma.f64 b a (*.f64 y x))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* b (+ a (/ (* t z) b)))
(fma.f64 b a (*.f64 t z))
(* b (+ a (/ (* x y) b)))
(fma.f64 b a (*.f64 y x))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 (fma.f64 t z (.f64 y x)) #s(literal 1 binary64) (.f64 b a))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* t z) b)))))
(fma.f64 b a (*.f64 t z))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))
(fma.f64 b a (*.f64 y x))

rewrite343.0ms (7.4%)

Memory

30.3MiB live, 144.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
0	22	52
1	99	52
2	622	52
0	8343	50

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 126

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
(*.f64 t z)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 (.f64 t z) (fma.f64 b a (*.f64 t z)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 (.f64 t z) (fma.f64 t z (*.f64 (neg.f64 b) a)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (.f64 (.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a))) (-.f64 (.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a))) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (fma.f64 b a (.f64 t z)))
(.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t z (.f64 (neg.f64 b) a))))
(.f64 (pow.f64 (-.f64 (.f64 b a) (.f64 t z)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 b a (.f64 t z)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 b a) (*.f64 t z)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 b a) (*.f64 t z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 (fma.f64 b a (.f64 t z)) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (.f64 t z))))))
(.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 b a (.f64 t z)) (.f64 (-.f64 (.f64 b a) (.f64 t z)) (pow.f64 (-.f64 (.f64 b a) (*.f64 t z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b a (*.f64 t z))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 b a) (.f64 t z)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 b a) (.f64 t z)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) b) a) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 b a) (.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y x) b) a) #s(literal 2 binary64))) (-.f64 (.f64 b a) (*.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y x) b) a) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x))) (.f64 (-.f64 (.f64 b a) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 b a) (.f64 y x)) (-.f64 (.f64 b a) (*.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b a (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (fma.f64 y x (*.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (.f64 (neg.f64 b) a)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b a (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (.f64 y x)))) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b a (*.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 b a) (.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (*.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 b a) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 (.f64 b a) (.f64 y x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 b a) (.f64 y x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 (.f64 y x) (fma.f64 b a (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 b a (.f64 y x)) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 b a) (*.f64 y x)))))
(fma.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 b a) (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x)))))
(fma.f64 b a (*.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 b a))
(fma.f64 x y (*.f64 b a))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (neg.f64 b) a))) (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (fma.f64 y x (.f64 (neg.f64 b) a))))
(-.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x)))))
(+.f64 (.f64 b a) (.f64 y x))
(+.f64 (.f64 y x) (.f64 b a))
(*.f64 y x)
(*.f64 x y)

eval97.0ms (2.1%)

Memory: -17.3MiB live, 21.0MiB allocated
Compiler: Compiled 5 343 to 507 computations (90.5% saved)

prune4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	135	3	138

Accuracy

100.0%

Counts

138 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

60.1%

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

✓

67.8%

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

▶

27.4%

#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify3.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 b a)
cost-diff	0	#s(approx (+ (* b a) (* y x)) (*.f64 b a))
cost-diff	0	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	39
0	18	39
1	27	39
2	32	39
0	32	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)
b
a

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)
b
a

localize57.0ms (1.2%)

Memory

-10.8MiB live, 27.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b a)
accuracy	25.56526364261262	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
accuracy	30.749658134432643	#s(approx (+ (* b a) (* y x)) (*.f64 b a))

Samples

20.0ms

256×

valid

Compiler

Compiled 25 to 16 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (71.6% of total)

ival-add: 3.0ms (26.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 27

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)

Outputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* a b)
(+ (* a b) (* x y))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* x (+ y (/ (* a b) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* y (+ x (/ (* a b) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(* t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(+ (* t z) (* x y))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* a (+ b (/ (* x y) a)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* b (+ a (/ (* x y) b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* b a))
0.0ms	b	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* b a))
0.0ms	a	@	inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* b a))
0.0ms	y	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* b a))
0.0ms	x	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* b a))

simplify159.0ms (3.4%)

Memory

9.0MiB live, 129.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	249
1	387	245
2	1296	237
3	3198	237
4	7266	237
0	8087	200

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

Inputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* a b)
(+ (* a b) (* x y))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* x (+ y (/ (* a b) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* y (+ x (/ (* a b) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(* t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(+ (* t z) (* x y))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* a (+ b (/ (* x y) a)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* b (+ a (/ (* x y) b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))

Outputs
(+ (* a b) (* t z))
(fma.f64 b a (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* a b)
(*.f64 b a)
(+ (* a b) (* x y))
(fma.f64 b a (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* x (+ y (/ (* a b) x)))
(fma.f64 b a (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(fma.f64 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(fma.f64 b a (*.f64 y x))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* y (+ x (/ (* a b) y)))
(fma.f64 b a (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(fma.f64 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(fma.f64 b a (*.f64 y x))
(* t z)
(*.f64 t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(+ (* t z) (* x y))
(fma.f64 t z (*.f64 y x))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* a (+ b (/ (* x y) a)))
(fma.f64 b a (*.f64 y x))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 (fma.f64 t z (.f64 y x)) #s(literal 1 binary64) (.f64 b a))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(fma.f64 b a (*.f64 y x))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* b (+ a (/ (* x y) b)))
(fma.f64 b a (*.f64 y x))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 (fma.f64 t z (.f64 y x)) #s(literal 1 binary64) (.f64 b a))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))
(fma.f64 b a (*.f64 y x))

rewrite220.0ms (4.7%)

Memory

-22.5MiB live, 180.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
0	18	37
1	72	37
2	517	37
3	7393	37
0	8571	33

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 4

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)
(*.f64 a b)

eval1.0ms (0%)

Memory: 2.6MiB live, 2.6MiB allocated
Compiler: Compiled 251 to 38 computations (84.9% saved)

prune2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	10	5	15

Accuracy

100.0%

Counts

15 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.1%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
✓	67.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
▶	35.1%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
▶	42.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
✓	27.4%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 89 to 71 computations (20.2% saved)

simplify4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
cost-diff	0	(*.f64 t z)
cost-diff	0	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
0	17	40
1	24	40
2	31	40
3	33	40
0	33	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
(*.f64 t z)
t
z
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
(*.f64 y x)
y
x

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
(*.f64 t z)
t
z
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
(*.f64 y x)
y
x

localize73.0ms (1.6%)

Memory

-24.4MiB live, 61.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	41.53984095924613	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
accuracy	0.0	(*.f64 t z)
accuracy	36.58784199668579	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))

Samples

63.0ms

256×

valid

Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 45.0ms (84.1% of total)

ival-mult: 8.0ms (14.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

4 → 19

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
(*.f64 t z)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
(*.f64 y x)

Outputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(+ (* a b) (* x y))
(* t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(+ (* t z) (* x y))
(* a b)
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (* y x))
0.0ms	y	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (* y x))
0.0ms	x	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (* y x))
0.0ms	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (* y x))
0.0ms	x	@	0	((+ (+ (* x y) (* z t)) (* a b)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (* y x))

simplify112.0ms (2.4%)

Memory

17.3MiB live, 174.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	173
1	283	173
2	908	173
3	2197	173
4	4541	173
0	8208	144

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

Inputs
(+ (* a b) (* t z))
(+ (* a b) (+ (* t z) (* x y)))
(* x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(+ (* a b) (* x y))
(* t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(+ (* t z) (* x y))
(* a b)
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))

Outputs
(+ (* a b) (* t z))
(fma.f64 b a (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* x y)
(*.f64 y x)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(+ (* a b) (* x y))
(fma.f64 b a (*.f64 y x))
(* t z)
(*.f64 t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(+ (* t z) (* x y))
(fma.f64 t z (*.f64 y x))
(* a b)
(*.f64 b a)
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))

rewrite184.0ms (4%)

Memory

5.6MiB live, 196.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
0	17	36
1	49	36
2	403	36
3	6086	36
0	8121	32

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 6

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
(*.f64 t z)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
(*.f64 t z)
(*.f64 z t)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)

eval1.0ms (0%)

Memory: 4.4MiB live, 4.4MiB allocated
Compiler: Compiled 218 to 35 computations (83.9% saved)

prune5.0ms (0.1%)

Memory

-27.7MiB live, 9.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.1%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
✓	67.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
✓	35.1%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
✓	42.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
✓	27.4%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 189 to 101 computations (46.6% saved)

regimes80.0ms (1.7%)

Memory

23.2MiB live, 115.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Calls

11 calls:

54.0ms	b
3.0ms	y
3.0ms	a
3.0ms	t
3.0ms	z

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`
98.4%	1	`a`
98.4%	1	`b`
98.4%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
98.4%	1	`(+.f64 (.f64 x y) (.f64 z t))`
98.4%	1	`(*.f64 x y)`
98.4%	1	`(*.f64 z t)`
98.4%	1	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes65.0ms (1.4%)

Memory

-27.4MiB live, 87.9MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

Outputs

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Calls

11 calls:

34.0ms	(*.f64 a b)
7.0ms	x
5.0ms	b
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
80.3%	3	`x`
83.5%	3	`y`
81.0%	3	`z`
86.8%	3	`t`
67.8%	1	`a`
76.1%	4	`b`
67.8%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
67.8%	1	`(+.f64 (.f64 x y) (.f64 z t))`
87.2%	3	`(*.f64 x y)`
89.5%	3	`(*.f64 z t)`
67.8%	1	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes9.0ms (0.2%)

Memory

35.4MiB live, 35.4MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))

Calls

4 calls:

2.0ms	(*.f64 x y)
2.0ms	y
2.0ms	t
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
78.4%	3	`y`
73.6%	3	`t`
82.2%	3	`(*.f64 x y)`
75.7%	3	`(*.f64 z t)`

Compiler

Compiled 8 to 26 computations (-225% saved)

regimes23.0ms (0.5%)

Memory

-5.2MiB live, 72.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))

Calls

11 calls:

3.0ms	(*.f64 x y)
3.0ms	b
2.0ms	y
2.0ms	(+.f64 (.f64 x y) (.f64 z t))
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
54.2%	3	`(*.f64 a b)`
52.3%	3	`a`
42.8%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
53.3%	3	`(+.f64 (.f64 x y) (.f64 z t))`
62.0%	3	`t`
61.4%	6	`b`
64.3%	3	`(*.f64 z t)`
58.9%	3	`y`
57.1%	4	`x`
55.8%	3	`z`
62.0%	3	`(*.f64 x y)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes11.0ms (0.2%)

Memory

-9.1MiB live, 28.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))

Calls

6 calls:

3.0ms	(*.f64 x y)
1.0ms	z
1.0ms	t
1.0ms	b
1.0ms	y

Results

Accuracy	Segments	Branch
49.2%	3	`z`
52.3%	3	`b`
42.8%	1	`y`
54.3%	3	`t`
44.7%	2	`(*.f64 x y)`
55.6%	3	`(*.f64 z t)`

Compiler

Compiled 10 to 38 computations (-280% saved)

regimes17.0ms (0.4%)

Memory

6.4MiB live, 47.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Calls

11 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
1.0ms	(*.f64 a b)
1.0ms	b
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
27.4%	1	`y`
27.4%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
27.4%	1	`(*.f64 x y)`
27.4%	1	`z`
27.4%	1	`a`
27.4%	1	`b`
27.4%	1	`(+.f64 (.f64 x y) (.f64 z t))`
27.4%	1	`(*.f64 a b)`
27.4%	1	`t`
27.4%	1	`x`
27.4%	1	`(*.f64 z t)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6560294140048105e-24	1.0684883776293883e-20
0.0ms	-1.1123942438660163e+68	-7.222086062909135e+67

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.350287508351533e+46	1.5675646893656666e+47
0.0ms	-9.64401376721111e+122	-2.444248148701376e+121

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6560294140048105e-24	1.0684883776293883e-20
0.0ms	-1.1123942438660163e+68	-7.222086062909135e+67

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.627251254653695e+92	5.523249676160057e+112
0.0ms	-5.440433267803302e-39	-6.237385834659558e-44

Compiler

Compiled 14 to 20 computations (-42.9% saved)

simplify12.0ms (0.3%)

Memory

-15.1MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	223
1	68	223
2	73	223

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 (.f64 z t) #s(literal -99999999999999995280522225138166806691251291352861698530421623488512 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) (if (<=.f64 (.f64 z t) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 100000000000000004384584304507619735463404765184 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 y x))))
(if (<=.f64 (.f64 z t) #s(literal -99999999999999995280522225138166806691251291352861698530421623488512 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 t z))))
(if (<=.f64 (.f64 z t) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 t z))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 (.f64 z t) #s(literal -99999999999999995280522225138166806691251291352861698530421623488512 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) (if (<=.f64 (.f64 z t) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))))
(if (or (<=.f64 (.f64 z t) #s(literal -99999999999999995280522225138166806691251291352861698530421623488512 binary64)) (not (<=.f64 (.f64 z t) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)))) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 100000000000000004384584304507619735463404765184 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 y x))))
(if (or (<=.f64 (.f64 x y) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (not (<=.f64 (.f64 x y) #s(literal 100000000000000004384584304507619735463404765184 binary64)))) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z))))
(if (<=.f64 (.f64 z t) #s(literal -99999999999999995280522225138166806691251291352861698530421623488512 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 t z))))
(if (or (<=.f64 (.f64 z t) #s(literal -99999999999999995280522225138166806691251291352861698530421623488512 binary64)) (not (<=.f64 (.f64 z t) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)))) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 t z)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 y x)))
(if (<=.f64 (.f64 z t) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 t z))))
(if (or (<=.f64 (.f64 z t) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (not (<=.f64 (.f64 z t) #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)))) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 t z)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

soundness785.0ms (17%)

Memory

-17.5MiB live, 472.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	315
1	488	309
2	1666	297
3	4200	297
0	8037	252
0	104	249
1	387	245
2	1296	237
3	3198	237
4	7266	237
0	8087	200
0	104	249
1	389	245
2	1302	237
3	3174	237
4	7235	237
0	8046	200

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 289 to 188 computations (34.9% saved)

preprocess43.0ms (0.9%)

Memory

25.9MiB live, 104.4MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 600 to 258 computations (57% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (27%)

explain144.0ms (3.1%)

preprocess102.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize31.0ms (0.7%)

series11.0ms (0.2%)

simplify185.0ms (4%)

rewrite282.0ms (6.1%)

eval21.0ms (0.4%)

prune15.0ms (0.3%)

simplify4.0ms (0.1%)

localize76.0ms (1.6%)

series8.0ms (0.2%)

simplify169.0ms (3.7%)

rewrite343.0ms (7.4%)

eval97.0ms (2.1%)

prune4.0ms (0.1%)

simplify3.0ms (0.1%)

localize57.0ms (1.2%)

series6.0ms (0.1%)

simplify159.0ms (3.4%)

rewrite220.0ms (4.7%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify4.0ms (0.1%)

localize73.0ms (1.6%)

series6.0ms (0.1%)

simplify112.0ms (2.4%)

rewrite184.0ms (4%)

eval1.0ms (0%)

prune5.0ms (0.1%)

regimes80.0ms (1.7%)

regimes65.0ms (1.4%)

regimes9.0ms (0.2%)

regimes23.0ms (0.5%)

regimes11.0ms (0.2%)

regimes17.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify12.0ms (0.3%)

soundness785.0ms (17%)

preprocess43.0ms (0.9%)

end0.0ms (0%)

Profiling